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2123231232 = 21231311319
BaseRepresentation
bin111111010001101…
…1111000000000000
312110222020022200210
41332203133000000
513322021344412
6550404114120
7103421111343
oct17643370000
95428208623
102123231232
1199a566061
124b3095940
1327ab62c55
14161db645a
15c660583c
hex7e8df000

2123231232 has 104 divisors (see below), whose sum is σ = 5708799360. Its totient is φ = 701808640.

The previous prime is 2123231213. The next prime is 2123231267. The reversal of 2123231232 is 2321323212.

It is a happy number.

It is a super-2 number, since 2×21232312322 = 9016221729080475648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2123231199 and 2123231208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609069 + ... + 1610387.

Almost surely, 22123231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854399680).

2123231232 is an abundant number, since it is smaller than the sum of its proper divisors (3585568128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2123231232 is a wasteful number, since it uses less digits than its factorization.

2123231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1455 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2123231232 is about 46078.5333099915. The cubic root of 2123231232 is about 1285.2839903848.

Adding to 2123231232 its reverse (2321323212), we get a palindrome (4444554444).

The spelling of 2123231232 in words is "two billion, one hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1024 1048 1319 1536 1572 2048 2096 2638 3072 3144 3957 4096 4192 5276 6144 6288 7914 8384 10552 12288 12576 15828 16768 21104 25152 31656 33536 42208 50304 63312 67072 84416 100608 126624 134144 168832 172789 201216 253248 268288 337664 345578 402432 506496 518367 536576 675328 691156 804864 1012992 1036734 1350656 1382312 1609728 2025984 2073468 2701312 2764624 4051968 4146936 5402624 5529248 8103936 8293872 11058496 16207872 16587744 22116992 33175488 44233984 66350976 88467968 132701952 176935936 265403904 353871872 530807808 707743744 1061615616 2123231232